Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Given that f(x)=x^(2)-14 and g(x)=9-x, find (f-g)(6), if it exists.

Sagot :

mhanifa

Answer:

  • -5

Step-by-step explanation:

Given:

  • f(x) = x² - 14 and g(x) = 9 - x

Find (f-g)(6):

  • g(6) = 9 - 6 = 3
  • (f-g)(6) = f(g(6)) = f(3) = 3² - 14 = 9 - 14 = -5

f(x)=x^2-14

g(x)=9-x

Find g(6)

[tex]\\ \sf\longmapsto g(6)=9-6=3[/tex]

Now

[tex]\\ \sf\longmapsto (f-g)(x)=f(g(x))[/tex]

[tex]\\ \sf\longmapsto f(g(6))[/tex]

[tex]\\ \sf\longmapsto f(3)[/tex]

[tex]\\ \sf\longmapsto 3^2-14[/tex]

[tex]\\ \sf\longmapsto 9-14[/tex]

[tex]\\ \sf\longmapsto -5[/tex]

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.